Sturridge is yet to feature under new manager Jurgen Klopp after picking up a knee injury on the eve of the German’s first match in charge against Tottenham Hotspur on October 17.
Sturridge collided with Jordon Ibe in training and has been facing an uphill battle to be fit for Sunday’s visit from Southampton.
An injury-plagued 12 months meant that Sturridge’s impact was minimal last term under Brendan Rodgers, but after missing the pre-season programme in favour of recuperation in Boston after hip surgery, the England international returned with two classy finishes in the 3-2 win over Aston Villa last month.
The performance was a flash of what Liverpool might be capable of with him in the side, but frustratingly for supporters, Sturridge pulled up lame once again after picking up a knee problem in training.
In the past four seasons, Sturridge has missed 58 Premier League games, but a goal ratio of 0.65 gives him the highest percentage of any Liverpool player in Premier League history.
When you consider the five-time European champions have been able to boast the likes of Luis Suarez, Fernando Torres, Robbie Fowler and Michael Owen over the past 20 years, it is certainly an impressive statistic.
He has netted 37 times in just 58 appearances since his big-money switch in January 2013, and if fully fit, he is arguably one of the finest marksmen in Europe.
However, Sturridge’s continued inability to get onto the field has led to Thompson questioning whether or not the club’s Fenway Sports Group owners should look to cash in on the injury-plagued former Manchester City youngster.
Thompson told Soccer Saturday, broadcast on Sky Sports News on October 24: “The problem with him is we all thought they were keeping him out [as a precaution] and he would be on the bench on Thursday (against Rubin Kazan in the Europa League). I thought he was rested for Southampton on Sunday and it’s been lifting us up and letting us down.
“He’s exactly what is needed and what we’ve been missing and if he’s not playing, there’s going to be a question mark over him. How many minutes can you get him on the pitch for? If he’s not on the pitch you have to start thinking [about selling him]. If he’s nearly ready but not 100%, he has to play.
“If he’s missed games under Brendan and now Jurgen, the owners need to get an upgrade because they need him on the pitch. I know the strike rate and I know he’s scored but if he’s not playing then it needs to be looked at.
“Liverpool have a European class manager who may be able to attract a certain type of player and maybe that will be a kick up the backside for Daniel.”